Solving Systems of Equations by Substitution

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

If the solution is infinitely many the lines will ________?

• intersect at exactly one point

• be parallel

• overlap each other

• never exist

Enter the x coordinate of the solution to this system of equations.

HINT: Make sure both equations are in (x + y = #) form. Then do the shortcut.

Mathematical Equivalence

ON

What is the solution to this system of equations?

What is the solution to this system of equations?

(a)  

• A

• B

• C

• D

Enter the x coordinate of the solution to this system of equations. HINT: Make sure both equations are in (y=mx+b) form. Then do the shortcut with DESMOS

Mathematical Equivalence

ON

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

What is the solution to a systems of equations? 

• The point or points where they intersect

• What the lines have in common

• Either a single point, infinite number of points or no points

• ALL OF THE ABOVE